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An efficient finite element method (FEM) for calculating eigenvalues and eigenfunctions of quantum billiard systems is presented. We consider the FEM based on triangular $C_1$ continuity quartic interpolation. Various shapes of quantum…

Chaotic Dynamics · Physics 2009-02-25 Woo-Sik Son , Sunghwan Rim , Chil-Min Kim

This paper presents and analyses a Constraint Energy Minimization Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving single-phase non-linear compressible flows in highly heterogeneous media. The construction of CEM-GMsFEM…

Numerical Analysis · Mathematics 2023-03-31 Leonardo A. Poveda , Shubin Fu , Eric T. Chung , Lina Zhao

Electromagnetic (EM) sensing is a wide-spread contactless examination technique in science, engineering and military. However, conventional sensing systems are mostly lack of intelligence, which not only require expensive hardware and…

Signal Processing · Electrical Eng. & Systems 2019-12-06 Hao-Yang Li , Han-Ting Zhao , Meng-Lin Wei , Heng-Xin Ruan , Ya Shuang , Tie Jun Cui , Lianlin Li

A promising approach to study condensed-matter systems is to simulate them on an engineered quantum platform. However, achieving the accuracy needed to outperform classical methods has been an outstanding challenge. Here, using eighteen…

The increasingly complex quantum electronic circuits with a number of coupled quantum degrees of freedom will become intractable to be simulated on classical computers, and requires quantum computers for an efficient simulation. In turn, it…

High-field superconducting REBCO magnets contain several coils with many turns. For these magnets, electro-thermal quench is an issue that magnet designers need to take into account. Thus, there is a need for a fast and accurate software to…

Superconductivity · Physics 2025-02-18 Anang Dadhich , Philippe Fazilleau , Enric Pardo

Superconducting resonators with high quality factors are extremely sensitive detectors of the complex impedance of materials and devices coupled to them. This capability has been used to measure losses in multiple different materials and,…

Quantum Physics · Physics 2025-07-01 Jared Gibson , Zhanzhi Jiang , Angela Kou

When the electric conductance of a nano-sized metal is measured at low temperatures, it often exhibits complex but reproducible patterns as a function of external magnetic fields, called quantum fingerprints in electric conductance. Such…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Shunsuke Daimon , Kakeru Tsunekawa , Shinji Kawakami , Takashi Kikkawa , Rafael Ramos , Koichi Oyanagi , Tomi Ohtsuki , Eiji Saitoh

The article is a short opinionated review of the quantum treatment of electromagnetic circuits, with no pretension to exhaustiveness. This review, which is an updated and modernized version of a previous set of Les Houches School lecture…

Quantum Physics · Physics 2017-06-12 Uri Vool , Michel H. Devoret

Parameterized quantum circuits play an essential role in the performance of many variational hybrid quantum-classical (HQC) algorithms. One challenge in implementing such algorithms is to choose an effective circuit that well represents the…

Quantum Physics · Physics 2020-01-15 Sukin Sim , Peter D. Johnson , Alan Aspuru-Guzik

Quantitative microstructural characterization is fundamental to materials science, where electron micrograph (EM) provides indispensable high-resolution insights. However, progress in deep learning-based EM characterization has been…

Computer Vision and Pattern Recognition · Computer Science 2025-08-25 Nan wang , Zhiyi Xia , Yiming Li , Shi Tang , Zuxin Fan , Xi Fang , Haoyi Tao , Xiaochen Cai , Guolin Ke , Linfeng Zhang , Yanhui Hong

Quantum error correction (QEC) is believed to be essential for the realization of large-scale quantum computers. However, due to the complexity of operating on the encoded `logical' qubits, understanding the physical principles for building…

Superconducting quantum circuits are potential candidates to realize a large-scale quantum computer. The envisioned large density of integrated components, however, requires a proper thermal management and control of dissipation. To this…

Quantum circuits that generate coherent superpositions of stochastic processes are key to many downstream quantum-accelerated tasks, such as risk analysis, importance sampling, and DNA sequencing. However, traditional methods for designing…

Quantum Physics · Physics 2026-03-26 Ximing Wang , Chengran Yang , Chidambaram Aditya Somasundaram , Jayne Thompson , Mile Gu

It is described, explicitly, how a popular, commercially-available software package for solving partial-differential-equations (PDEs), as based on the finite-element method (FEM), can be configured to calculate the frequencies and fields of…

Quantum Physics · Physics 2007-05-23 Mark Oxborrow

The EMI (Extracellular-Membrane-Intracellular) model describes electrical activity in excitable tissue, where the extracellular and intracellular spaces and cellular membrane are explicitly represented. The model couples a system of partial…

Numerical Analysis · Mathematics 2023-07-06 Nanna Berre , Marie E. Rognes , Andre Massing

Quantum-centric supercomputing (QCSC) workflows often involve hybrid classical-quantum algorithms that are inherently probabilistic and executed on remote quantum hardware, making them difficult to interpret and limiting the ability to…

Autonomous experimentation systems have been used to greatly advance the integrated computational materials engineering (ICME) paradigm. This paper outlines a framework that enables the design and selection of data collection workflows for…

Materials Science · Physics 2022-06-20 Rohan Casukhela , Sriram Vijayan , Joerg R. Jinschek , Stephen R. Niezgoda

We propose an exceptional-point (EP) framework for black-hole ringdown beyond the standard quasinormal-mode (QNM) paradigm. It provides a first-principles characterization of the resonance associated with avoided crossings near EPs, an…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Rodrigo Panosso Macedo , Takuya Katagiri , Kei-ichiro Kubota , Hayato Motohashi

We combine classical heuristics with partial shadow tomography to enable efficient protocols for extracting information from correlated ab initio electronic systems encoded on quantum devices. By proposing the use of a correlation energy…

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